Hi Ron,
I'm the Local SEO Associate here in Q&A. The response Robert has given you is correct. Google's guidelines would not allow the procedure you are describing. The requirements in order to qualify for a Google Place Page are that you have:
1. A legal business name
2. A local area code phone number
3. A physical street address (not a P.O. box or virtual office) to which customers either come to do business with you or from which your employees depart in order to serve customers at their locations (think chimney sweep, landscaper, etc.)
I think your situation is rather interesting, in that I do detect some grey area. What follows is not my suggested advice, but it does point out some of the lack of clarity and potential loopholes in the guidelines. I present this only for educational and hypothetical purposes.
Let's say your band is actually a company with a registered, legal business name. Let's say your main headquarters are your home in San Francisco. Let us further say that you appoint 3 band members as franchise owners. These franchise owners have their headquarters in Berkeley, Oakland and San Jose. Let's say that each franchise owner has a distinct local area code phone number and street address (all under the company's legal business name) and each franchise owner is empowered to take bookings over the phone, hold practices at their facility and that the band heads out from these franchise headquarters to do a gig in each of the respective 3 cities, as well as from your main office in San Francisco.
In a situation like this, one could almost reason that it would be logical for each of the franchises to have their own Place Page.
But in reality, I would call this an extreme long shot, and I believe Google could well consider an abuse of their intended use of the system, hence my warning that this is not my advice. It's interesting to consider, though. Situations like yours are why I would like to see more minutely detailed guidelines published by Google.
In all honesty, I believe your most above board move is to get a very clean, violation-free Place Page in place for your business in the city in which it is located, and then do what other go-to-client business models do: depend on your organic efforts for additional visibility in the cities in which you serve.
When I work with a client like, for instance, a mobile notary public, my process is to get her site well-optimized for her city of location, get her local business profiles created and claimed and then put a plan in place for creating very strong content on her website for the additional cities in which she serves. Of course, both she and I would love for her to be able to have a Place Page for all of the cities in her service area, but this simply isn't how Places works.
I would recommend that you read the Google Places Quality Guidelines yourself in case anything I've written isn't clear: http://support.google.com/places/bin/answer.py?hl=en&answer=107528
Good luck with the band! Sounds fun!